{
 "cells": [
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-06-13T01:47:18.727474Z",
     "start_time": "2025-06-13T01:47:18.507044Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import DBSCAN\n",
    "from sklearn.datasets import make_moons\n",
    "\n",
    "# 生成月牙形状的示例数据\n",
    "X, _ = make_moons(n_samples=300, noise=0.05, random_state=42)\n",
    "\n",
    "# 创建DBSCAN聚类模型\n",
    "dbscan = DBSCAN(eps=0.3, min_samples=5)  # eps:邻域半径, min_samples:形成核心点所需的最小点数\n",
    "\n",
    "# 训练聚类模型\n",
    "clusters = dbscan.fit_predict(X)\n",
    "\n",
    "# 获取唯一的聚类标签（-1表示噪声点）\n",
    "unique_labels = np.unique(clusters)\n",
    "\n",
    "# 使用不同颜色可视化每个聚类和噪声点\n",
    "plt.figure(figsize=(8, 6))\n",
    "colors = ['blue', 'red', 'green', 'purple', 'orange']  # 为每个聚类分配颜色\n",
    "\n",
    "for label in unique_labels:\n",
    "    if label == -1:  # 噪声点\n",
    "        plt.scatter(X[clusters == label, 0], X[clusters == label, 1], \n",
    "                   c='black', marker='x', label='Noise')\n",
    "    else:  # 正常聚类\n",
    "        plt.scatter(X[clusters == label, 0], X[clusters == label, 1], \n",
    "                   c=colors[label % len(colors)], label=f'Cluster {label}')\n",
    "\n",
    "# 添加图例和标签\n",
    "plt.title('DBSCAN Clustering', fontsize=16)\n",
    "plt.xlabel('Feature 1', fontsize=12)\n",
    "plt.ylabel('Feature 2', fontsize=12)\n",
    "plt.legend()\n",
    "\n",
    "# 显示图表\n",
    "plt.show()\n"
   ],
   "id": "3b575a73e9c32339",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "467554084fa85b2"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
